Electric Circuit Logic Gate Quiz: How Well Do You Know?

1. What is the expression of this diagram?

(A + B) *C * D

(A + B) * (C * D)

The expression of the diagram is (A + B) * C * D. This means that the variables A and B are added together, then multiplied by C, and finally multiplied by D. The parentheses indicate that the addition should be done before the multiplication.

Explanation

The expression of the diagram is (A + B) * C * D. This means that the variables A and B are added together, then multiplied by C, and finally multiplied by D. The parentheses indicate that the addition should be done before the multiplication.

2. What is the expression of this diagram?

A` * Z

A` + Z

A * Z

A + Z

The expression of the given diagram is A` * Z, which represents the logical AND operation between the variables A` (A complement) and Z. This means that the output of this expression will be true (1) only if both A` and Z are true (1).

Explanation

The expression of the given diagram is A` * Z, which represents the logical AND operation between the variables A` (A complement) and Z. This means that the output of this expression will be true (1) only if both A` and Z are true (1).

3. Is [your statement here] true or false?

( A + Z` )`

( A + Z )`

The given statement is true. The expression (A + Z`)` represents the complement of the union of sets A and Z`. In other words, it includes all elements that are not in either set A or set Z`.

Explanation

The given statement is true. The expression (A + Z`)` represents the complement of the union of sets A and Z`. In other words, it includes all elements that are not in either set A or set Z`.

4. What is the expression of this diagram?

(A * Y)` * Z

(A` * Y)` * Z`

(A * Y)` + Z

(A + Y)` * Z

The expression in the diagram is (A * Y)` * Z. This means that the value of A is multiplied by the value of Y, and then the result is negated. Finally, the negated result is multiplied by the value of Z.

Explanation

The expression in the diagram is (A * Y)` * Z. This means that the value of A is multiplied by the value of Y, and then the result is negated. Finally, the negated result is multiplied by the value of Z.

5. What is the expression of this diagram?

( (A * Y)` + Z )`

( (A * Y)` + Z `)

( (A + Y)` *Z )`

The expression of the given diagram is ( (A * Y)` + Z )`. The diagram represents a logical expression with three variables A, Y, and Z. The expression is composed of two parts: (A * Y)` and Z. The ` symbol represents the negation or complement of the expression. The + symbol represents the logical OR operation, and the * symbol represents the logical AND operation. Therefore, the correct answer is ( (A * Y)` + Z )`.

Explanation

The expression of the given diagram is ( (A * Y)` + Z )`. The diagram represents a logical expression with three variables A, Y, and Z. The expression is composed of two parts: (A * Y)` and Z. The ` symbol represents the negation or complement of the expression. The + symbol represents the logical OR operation, and the * symbol represents the logical AND operation. Therefore, the correct answer is ( (A * Y)` + Z )`.

6. What is the expression shown in the diagram?

( ( A + B` ) + (C * D) )`

( ( A + B` ) * (C * D) )`

( ( A * B` ) * (C + D) )`

The expression shown in the diagram is ( ( A + B` ) + (C * D) )`. This can be determined by analyzing the diagram and identifying the logical operators and operands used. The expression consists of three groups enclosed in parentheses, with each group containing a combination of logical operators and operands. The first group is ( A + B` ), which represents the logical OR operation between A and the complement of B. The second group is (C * D), which represents the logical AND operation between C and D. Finally, the entire expression is negated by the ` symbol at the end.

Explanation

The expression shown in the diagram is ( ( A + B` ) + (C * D) )`. This can be determined by analyzing the diagram and identifying the logical operators and operands used. The expression consists of three groups enclosed in parentheses, with each group containing a combination of logical operators and operands. The first group is ( A + B` ), which represents the logical OR operation between A and the complement of B. The second group is (C * D), which represents the logical AND operation between C and D. Finally, the entire expression is negated by the ` symbol at the end.

7. What's the expression of this diagram?

( (A+B) + (C*D) )`

( (A+B) + (C+D) )`

( (A*B) + (C*D) )`

( (A*B) + (C+D) )`

( (A+B) * (C*D) )`

The expression of this diagram is ( (A+B) + (C*D) )`. This is determined by analyzing the diagram and identifying the operations and variables involved. The diagram consists of two sets of parentheses, each containing two terms connected by either addition or multiplication. The first set of parentheses has A+B, which represents the addition of variables A and B. The second set of parentheses has C*D, which represents the multiplication of variables C and D. Finally, the entire expression is negated by the ` symbol.

Explanation

The expression of this diagram is ( (A+B) + (C*D) )`. This is determined by analyzing the diagram and identifying the operations and variables involved. The diagram consists of two sets of parentheses, each containing two terms connected by either addition or multiplication. The first set of parentheses has A+B, which represents the addition of variables A and B. The second set of parentheses has C*D, which represents the multiplication of variables C and D. Finally, the entire expression is negated by the ` symbol.

8. What is the expression of this diagram?

(A + Y)* D

(A + Y)* D`

A * Y* D

The expression (A + Y)* D represents the logical operation of performing a logical OR between A and Y, and then performing a logical AND operation with the result and D. This means that both A and Y must be true (or have a logical value of 1) in order for the entire expression to evaluate to true. Additionally, D must also be true for the expression to be true.

Explanation

The expression (A + Y)* D represents the logical operation of performing a logical OR between A and Y, and then performing a logical AND operation with the result and D. This means that both A and Y must be true (or have a logical value of 1) in order for the entire expression to evaluate to true. Additionally, D must also be true for the expression to be true.

9. What is the expression of this diagram?

A` + Y + Z

A` + Y + Z`

A` * Y * Z

The expression of the diagram is A` + Y + Z, which means "not A or Y or Z". This expression represents a logical operation where at least one of the variables A, Y, or Z needs to be true for the entire expression to be true.

Explanation

The expression of the diagram is A` + Y + Z, which means "not A or Y or Z". This expression represents a logical operation where at least one of the variables A, Y, or Z needs to be true for the entire expression to be true.

10. What is the expression of this diagram?

(A` + Y + Z)`

(A` + Y * Z)`

(A` * Y * Z)`

The expression of the given diagram is (A` + Y + Z) because it represents a logical expression with three variables A, Y, and Z. The expression is enclosed in parentheses, indicating that the three variables are grouped together. The + symbol represents the logical OR operation, so the expression evaluates to true if at least one of the variables A, Y, or Z is true. Therefore, (A` + Y + Z)` is the correct answer.

Explanation

The expression of the given diagram is (A` + Y + Z) because it represents a logical expression with three variables A, Y, and Z. The expression is enclosed in parentheses, indicating that the three variables are grouped together. The + symbol represents the logical OR operation, so the expression evaluates to true if at least one of the variables A, Y, or Z is true. Therefore, (A` + Y + Z)` is the correct answer.